Completion of r.t. extensions of local fields (II)

V. Alexandru; A. Popescu; N. Popescu

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 100, page 57-66
  • ISSN: 0041-8994

How to cite

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Alexandru, V., Popescu, A., and Popescu, N.. "Completion of r.t. extensions of local fields (II)." Rendiconti del Seminario Matematico della Università di Padova 100 (1998): 57-66. <http://eudml.org/doc/108463>.

@article{Alexandru1998,
author = {Alexandru, V., Popescu, A., Popescu, N.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {residual transcendental extension; local field},
language = {eng},
pages = {57-66},
publisher = {Seminario Matematico of the University of Padua},
title = {Completion of r.t. extensions of local fields (II)},
url = {http://eudml.org/doc/108463},
volume = {100},
year = {1998},
}

TY - JOUR
AU - Alexandru, V.
AU - Popescu, A.
AU - Popescu, N.
TI - Completion of r.t. extensions of local fields (II)
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 100
SP - 57
EP - 66
LA - eng
KW - residual transcendental extension; local field
UR - http://eudml.org/doc/108463
ER -

References

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  1. [1] V. Alexandru - A. POPESCU - N. POPESCU, Completion of r.t. extensions of local fields (I), Math. Z., 221 (1996), pp. 675-682. Zbl0852.12003MR1385174
  2. [2] V. Alexandru - N. POPESCU, Some elementary remarks about n-local fields, Rend. Sem. Mat. Univ. Padova, 92 (1994), pp. 17-28. Zbl0846.12006MR1320475
  3. [3] V. Alexandru - N. POPESCU - A. ZAHARESCU, A theorem of characterization of residual transcendental extensions of a valuation, J. Math. Kyoto Univ., 28, No. 4 (1988), pp. 579-592. Zbl0689.12017MR981094
  4. [4] V. Alexandru - N. POPESCU - A. ZAHARESCU, Minimal pairs of definition of a residual transcendental extension of a valuation, J. Math. Kyoto Univ., 30, No. 2 (1990), pp. 207-225. Zbl0728.12009MR1068787
  5. [5] N. Boursaki, Algébre Commutative, Ch. V, VI, Herman, Paris (1964). 
  6. [6] A.N. Parshin, Abelian covering of arithmetic schemes (russian), Dokl. Acad. Nauk, SSSR, 273, No. 4 (1978), pp. 855-858. Zbl0443.12006MR514485
  7. [7] L. Popescu - N. Popescu, Sur la definition des prolongements residuels transcendents d'une valuation sur un corps K á K(X), Bull. Math. Soc. Sci. Math. R. S. Romania, 33 (81), No. 3 (1989), pp. 257-264. Zbl0698.12020MR1043994
  8. [8] N. Popescu - A. Zaharescu, On the structure of the irreducible polynomials over local fields, J. Number Theory, 52, No. 1 (1995), pp. 98-118. Zbl0838.11078MR1331768
  9. [9] N. Popescu - A. Zaharescu, On the main invariant of an element over a local field, Portugaliae Mathematica, 54, Fasc. 1 (1997), pp. 73-83. Zbl0894.11045MR1440129
  10. [10] I.P. Serre, Corps locaux, Hermann, Paris (1962). Zbl0137.02601
  11. [11] O.F.G. Shilling, The theory of valuations, Amer. Math. Soc., Mathematical Surveys, Number IV (1950). Zbl0037.30702

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